There are 870 students at Wye College. A random sample of 94 students were asked to rate the quality of the food in the new cafeteria and 71 of the respondents gave the cafeteria food a good rating.Construct the 82% confidence interval for the proportion of students that considerthe quality of food as good.

Use these tables to determine thez-value(s) or t-value(s).

Round all z-values to 2 decimal placesand t-values to 3 decimal places.

Do not round intermediate results or, if you do, round them to 5 decimal places.

a.What sample statistic should be used as the pointestimate of the population parameter?

(Click to select) Sample standard deviation Sample proportion Sample standard error Sample mean (1 point)

b.What is the value of that point estimate?Round theanswerto 4 decimal places.

The point estimate of the population parameter is . (1 point)

c. The distributionused in this case is:

(Click to select) z distribution because the population standard deviation is known. t distribution because the population standard deviation is unknown. z distribution because the sample mean is known. t distribution because the sample mean is unknown. z distribution because the confidence interval is for a population proportion. t distribution because the confidence interval is for a population proportion. (2 points)

d. For the 82% confidence interval, whatis the value ofzort(depending on your answer inc.)?

Thezortvalue is .(2 points)

e.What is the margin of error for this confidence interval?Round theanswerto 5 decimal places.

Themargin of error is . (1 point)

f. Develop the 82% confidence interval for the proportion of students that considerthe quality of food as good.

The82% confidence interval isfrom to .(1 point each)

g. Interpret the meaning of part (f.).

If 100 such intervals were determined, the (Click to select) sample mean population mean population proportion sample variance population variance would appear in about % of those intervals. (1 point each)

PrevQuestion 1 of 3 Total1 of 3Visit question mapNext